Question

Which of the binomials below is a factor of this trinomial?

15х2 + 13х- 20
А. 3x+5
В. 3x-4
с. 3х - 5
D. 3х + 4​

Answer 1

`\large\boxed{A).\,3x+5}`

Explanation:

In this question, to find the answer we would need to factor the trinomial.

We are factoring
`15x^2 + 13x- 20`

Factor:

`15x^2 + 13x- 20\\\\15x^2+25x-12x-20=0\\\\\text{Factor}\\\\5x(3x+5)-4(3x+5)`

When you're done factoring, you would notice that you see the common binomial of 3x + 5.

So the factor of the trinomial would be 3x + 5

This means that answer choice А. 3x + 5

I hope this helped you out.

Good luck on your academics.

Have a fantastic day!

Answer 2

A. 3x+5

Explanation:

To factor this equation, i will factor by grouping

(15x²-12x) + (25x - 20)

Then ill factor a 3x from (15x²-12x)

3x(5x-4x)

and factor a 5 from (25x - 20)

5(5x - 4)

So the equation can be written as:

3x(5x-4x) + 5(5x - 4)

if we factor a 5x-4 from both terms, the equation is

(5x-4)(3x+5)

So 3x + 5 is your answer.